Two waves of same frequency $n$ are approaching each other with same velocity, $v=20 \mathrm{~m} /…

Two waves of same frequency $n$ are approaching each other with same velocity, $v=20 \mathrm{~m} / \mathrm{s}$ and interfere. The distance between two consecutive nodes is
  1. $\frac{20}{n}$
  2. $\frac{10}{n}$
  3. $\frac{5}{n}$
  4. $\frac{n}{10}$

Solution

Distance between two consecutive nodes is given by, $x=\frac{\lambda}{2}$. $x=\frac{\lambda}{2}=\frac{1}{2}\left(\frac{v}{n}\right)=\frac{20 \mathrm{~ms}^{-1}}{2 n \mathrm{~s}^{-1}}=\frac{10}{n}$

Asked in: MHT CET 2022 (11 Aug Shift 1)

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